No, the slope would have to be the opposite reciprocal. If the slope on the second equation would have been -1/4, it would be perpendicular.
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;<u>23</u>;27;31;...;407} and B{2;9;16;<u>23</u>;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
Answer:
Fraction: 1 12/25
Decimal: 1.48
Step-by-step explanation:
We know the percent 100 is equal to 1. You are basically adding .48 to the decimal, and also adding 48/100 to the fraction. So, if you were to convert 148% to a fraction and a decimal, it would be 1 12/25 and 1.48.
Hope this helps,
Philip
Brainliest is always appreciated! <3
Answer:
A. 232 in²
B. 216 in²
Step-by-step explanation:
A. Box A is a cuboid/rectangular prism.
Surface area of box A = 2(LW + LH + WH)
L = 10 in
W = 2 in
H = 8 in
Surface area = 2(10*2 + 10*8 + 2*8)
= 2(20 + 80 + 16) = 2(116)
Surface area = 232 in²
B. Surface area of B = surface area of cube
Surface area of cube = 6s²
s = 6 in
Surface area = 6(6²)
= 6(36)
= 216 in²
Answer:
the explicit formula for h(n) is, -65-10n
Step-by-step explanation:
Given that:
h(1) = -75
h(n) = h(n-1)-10 ......[1]
Put n =2 in [1] we have;
Similarly for n = 3
and so on...
The series we get;
This is an arithmetic sequence series with common difference(d) = -10
Since,
-85-(-75) = -85+75 = -10,
-95-(-85) = -95+85 = -10 and so on
First term(a) = -75
the Explicit formula for arithmetic sequence is given by:
where a is the first term,
d is the common difference and
n is the number of terms.
We have to find the explicit formula for h(n);
Substitute the given values we have;
or
Therefore, the explicit formula for h(n) is, -65-10n
